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Finding the Fourth Proportional to 20,844.57, 28,770.57 and 12,882

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Solution

The fourth proportional to 20,844.57, 28,770.57 and 12,882 is: 17,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.57 : 28,770.57 = 12,882 : x
  2. Step 2: Convert to fraction form
    20,844.57/28,770.57 = 12,882/x
  3. Step 3: Cross multiply
    20,844.57x = 28,770.57 × 12,882
  4. Step 4: Simplify right side
    20,844.57x = 370,622,482.74
  5. Step 5: Solve for x
    x = 370,622,482.74/20,844.57
  6. Step 6: Final answer
    x = 17,780.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.